Technically could, although there would be no way to prove this as far as I'm aware, so there isn't a way to verify it either. It would be a pretty sophisticated attack though, it reminds me how computer forensics would freeze computers in the past, specifically the ram in order to extract data. Also, I do believe that some programs in the past, which I can't recall right now would give you supposedly random data, i.e a password generation based on the temperature of the device, and various other things.

So, technically it could, but wouldn't this be something you'd have to write into the code, e.g for deriving a seed or password from the temperature of the device, it would be viewable on the software side of things, so they would at least need to communicate to their hardware. I'm not sure they would be able to do it without that?